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Session 11


  • The following video covers the material for this session.
  • After watching the video, you should attempt the homework problems.
  • When you have finished the material below, you can return to the main page or start on the next session.


  • Properties of linear transformations including injective, surjective, and bijective
  • Matrix representations of linear transformations between vector spaces
  • The relationship between the matrix for a linear transformation and the range and kernel of the linear transformation
  • Rank-Nullity Theorem (or Dimension Theorem) for linear transformations


7.3 (Nicholson): 3, 4(b,d), 5c, 6(a,c), 11, 12, 14, 18
9.2 (Nicholson): 1b, 1c, 3, 5a, 9d
5.8 (Fioresi): 4, 
5.9 (Fioresi): 11

Open Nicholson Homework Assignment